calculus

sorry to ask a second question so soon, but i'm just not getting this one.

if f(x)= 3x lnx, then f'(x)=?

i used
f'(x)=3x(D lnx) + D (3x) (lnx)
f'(x)=3x (1/x) + 3 (lnx)
so... f'(x)=3+3lnx or 3(1+lnx).
unfortunately that isn't one of the possible answers given. could one of you kind folks help me understand where i went wrong?

thank you

  1. 👍 0
  2. 👎 0
  3. 👁 307
asked by ken

  1. I am getting the same answer.

    What are the other choices?

    1. 👍 0
    2. 👎 0
    posted by Dr. Jane

  2. Wow! that was sooo fast. thank you for the help.
    sorry, i should have thought to provide the answers
    here they are.

    a) 3+ln(x^3)
    b) 1+ln(x^3)
    c) (3/x)+3lnx
    d) 3/(x^2)
    e) 1/x

    1. 👍 0
    2. 👎 0
    posted by ken

  3. It is a. They used the law of logs or lns to rewrite 3 ln x as ln x^3.

    1. 👍 0
    2. 👎 0
    posted by Dr. Jane

  4. Thank you very much. haven't touched this kind of stuff in a while. your help is much appreciated.

    1. 👍 0
    2. 👎 0
    posted by ken

  6. You are welcome. So many times, students know the Calculus, but it is something from past math courses that cause the issue with finding the final answer.

    1. 👍 0
    2. 👎 0
    posted by Dr. Jane

Respond to this Question

First Name

Your Response

Similar Questions

  1. English

    In the following example, what type of constructed response question is being used? In the story of the three little pigs, what material did the third little pig use to buy his house? Application – ‘Think and Search

    asked by Caitlyn on November 20, 2018

  2. Math

    Need help with one more question. Which best describes a statistical question? a. a question that contains numbers b. a question about numbers c. a question about designing an experiment d. a question about a population or sample.

    asked by Brandi on April 2, 2013

  3. english

    4. Shenzhen is a shoking place, like nowhere elseon earth that i have ever seen. (make a question with sentence " i have ever seen") 5. The new Hopewell Highway runs from Shenzhen to Guangzhou. (make a question with " where

    asked by anonim on April 6, 2016

  4. Math re-post for Esther

    I’m doing mass/weight in the metric system my question is 3.6 t =_______kg How do I do this @Esther - Please always use the Ask a New Question link to post your own question instead of adding it to another student's question.

    asked by Writeacher on January 5, 2020

  5. public speaking

    2. “To persuade my classmates that cheating in an exam is just as wrong as plagiarism” is a: A. question of fact. B. question of policy. C. question of value. D. question of guessing.

    asked by sarah on July 29, 2014

  6. stats

    You took a 5-question multiple choice quiz with 4 choices for each question. If you guess at random on each question, what is the probability that you get at least one question correct?

    asked by sia on November 15, 2011

  7. Bob Pursley

    Bob: Thank you for answering my Chemistry question. I apologize that it was on there twice. I accidentally posted again the same question instead of a different question. You answered the first question with precision. Thank you

    asked by Mom on October 9, 2011

  8. math

    I do not know how to answer this question. Would someone please help me with each of the four question below? Thank you. Question 1. Write the sample space for the outcomes of tossing three coins using H for heads and T for tails.

    asked by Dave on February 17, 2011

  9. Social Studies -- Merisa

    I've reposted your question because it was posted as an answer to another question. Next time, please click Post a New Question when you want to ask a question. Your question: Was the U.S right to become an imperialist country and

    asked by Ms. Sue on March 7, 2007

  10. english

    for my extended essay i need help reword a question. right now it sounds like a "book report" type question and i need it to a question where i can prove it. Here it the question: Has foot binding effected the culture of Chinese

    asked by sara on February 25, 2008

  11. To Desmond

    Please use Post a New Question -- if you piggy-back a question on another student's question, it's unlikely to be answered. Please repost your question.

    asked by Writeacher on January 19, 2011

More Similar Questions